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Q.

State whether the statement is true or false: Every integer is a rational number.

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a

True

b

False

answer is A.

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Detailed Solution

It is given the statement that every integer is a rational number.
The set of integers contain digits ranging from

− ∞

to to

+ ∞

.
And a rational number is defined as the one which can be expressed in form of

p q

, where p and q are integers and

q ≠ 0

. Also, rational number can either be positive, or negative, or zero.
So, we can say that all integers also come under the category of rational numbers as they can also be expressed in the form of ratio of two integers and vice-versa.
So, we can conclude that every integer is a rational number.
Hence, the given statement is true.
So, the correct option is 1.

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State whether the statement is true or false: Every integer is a rational number.